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astrobeast1
super member
Reged: 09/28/10
Loc: leicester england
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sagitta volume calculation
#5717774 - 03/07/13 06:14 AM
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Hello to all, does anyone know of a source for calculating how much glass in volume is taken out from any given mirror blank when forming a sagitta =I am melting my own glass in preformed mould,s and wish to know if possible the weight of glass needed with some degree of accuracy.
many thank,s Dan
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Mike I. Jones
Carpal Tunnel
   
Reged: 07/02/06
Loc: Fort Worth TX
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Re: sagitta volume calculation
[Re: astrobeast1]
#5717780 - 03/07/13 06:26 AM
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Volume of a spherical cap = (pi/3)(s^2)(3R-s)
where s = sag, R = radius of curvature
Mike
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astrobeast1
super member
Reged: 09/28/10
Loc: leicester england
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Re: sagitta volume calculation
[Re: Mike I. Jones]
#5717785 - 03/07/13 06:37 AM
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thank,s mike, appreciate that=very quick ! was wondering if there,s a simpler method like a calculator which only requires an input of the diameter and the planned depth-thank,s
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Mike I. Jones
Carpal Tunnel
   
Reged: 07/02/06
Loc: Fort Worth TX
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Re: sagitta volume calculation
[Re: astrobeast1]
#5717792 - 03/07/13 06:47 AM
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Let r=D/2, then
V = (pi/6)(s)(3r^2+s^2)
Mike
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astrobeast1
super member
Reged: 09/28/10
Loc: leicester england
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Re: sagitta volume calculation
[Re: Mike I. Jones]
#5717797 - 03/07/13 06:56 AM
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My maths aren't so good as your,s---did you suspect ?
I will see if I can use both calc figures to my benefit. thank,s Dan
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